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Simplifying 3(4 + -5p) + -2(p + 4) = 4 (4 * 3 + -5p * 3) + -2(p + 4) = 4 (12 + -15p) + -2(p + 4) = 4 Reorder the terms: 12 + -15p + -2(4 + p) = 4 12 + -15p + (4 * -2 + p * -2) = 4 12 + -15p + (-8 + -2p) = 4 Reorder the terms: 12 + -8 + -15p + -2p = 4 Combine like terms: 12 + -8 = 4 4 + -15p + -2p = 4 Combine like terms: -15p + -2p = -17p 4 + -17p = 4 Add '-4' to each side of the equation. 4 + -4 + -17p = 4 + -4 Combine like terms: 4 + -4 = 0 0 + -17p = 4 + -4 -17p = 4 + -4 Combine like terms: 4 + -4 = 0 -17p = 0 Solving -17p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by '-17'. p = 0 Simplifying p = 0
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